Comparison of arithmetic, geometric, and harmonic means

DOI10.1134/S0001434621070129zbMath1475.26031OpenAlexW3193951640MaRDI QIDQ2049291

Leonid V. Rozovsky

Publication date: 25 August 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434621070129

zbMATH Keywords

arithmetic meangeometric meanharmonic mean

Mathematics Subject Classification ID

Means (26E60)

Cites Work

• Unnamed Item
• Variance and the inequality of arithmetic and geometric means
• A new refinement of the arithmetic mean -- geometric mean inequality
• Refined arithmetic, geometric and harmonic mean inequalities
• Bounds for A-G, A-H, G-H, and a family of inequalities of Ky Fan's type, using a general method
• Variance and the weighted AM-GM inequality
• A Refinement of the Arithmetic Mean-Geometric Mean Inequality
• EXACT UPPER AND LOWER BOUNDS ON THE DIFFERENCE BETWEEN THE ARITHMETIC AND GEOMETRIC MEANS

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